Pith Number

pith:PDEV2KWZ

pith:2024:PDEV2KWZT7MYPHT4G3ADF6BNB3

not attested not anchored not stored refs pending

Spectrality of Moran-type measures with staggered contraction ratios

Jing-Cheng Liu, Jun Jason Luo, Lin Mao

arxiv:2412.13427 v2 · 2024-12-18 · math.FA · math.CA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PDEV2KWZT7MYPHT4G3ADF6BNB3}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-07-05T10:43:42.115547Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

78c95d2ad99fd9879e7c36c032f82d0ed1868c2997300769b5e8d1f0f3db2bc0

Aliases

arxiv: 2412.13427 · arxiv_version: 2412.13427v2 · doi: 10.48550/arxiv.2412.13427 · pith_short_12: PDEV2KWZT7MY · pith_short_16: PDEV2KWZT7MYPHT4 · pith_short_8: PDEV2KWZ

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/PDEV2KWZT7MYPHT4G3ADF6BNB3 \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 78c95d2ad99fd9879e7c36c032f82d0ed1868c2997300769b5e8d1f0f3db2bc0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0d800b324497cb7a151d20724b348bdc3ab3e5f3cfc01d9acd276815088dd308",
    "cross_cats_sorted": [
      "math.CA"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2024-12-18T01:44:30Z",
    "title_canon_sha256": "61a1d721c3b1f5e9e6c18a74597a4dbaf248fbb31b8174c836062c6a56e5a9f8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2412.13427",
    "kind": "arxiv",
    "version": 2
  }
}